What is the Greatest Common Factor of 79968 and 79972?

Greatest common factor (GCF) of 79968 and 79972 is 4.

GCF(79968,79972) = 4

We will now calculate the prime factors of 79968 and 79972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79968 and 79972.

How to find the GCF of 79968 and 79972?

We will first find the prime factorization of 79968 and 79972. After we will calculate the factors of 79968 and 79972 and find the biggest common factor number .

Step-1: Prime Factorization of 79968

Prime factors of 79968 are 2, 3, 7, 17. Prime factorization of 79968 in exponential form is:

79968 = 2⁵ × 3¹ × 7² × 17¹

Step-2: Prime Factorization of 79972

Prime factors of 79972 are 2, 19993. Prime factorization of 79972 in exponential form is:

79972 = 2² × 19993¹

Step-3: Factors of 79968

List of positive integer factors of 79968 that divides 79968 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 17, 21, 24, 28, 32, 34, 42, 48, 49, 51, 56, 68, 84, 96, 98, 102, 112, 119, 136, 147, 168, 196, 204, 224, 238, 272, 294, 336, 357, 392, 408, 476, 544, 588, 672, 714, 784, 816, 833, 952, 1176, 1428, 1568, 1632, 1666, 1904, 2352, 2499, 2856, 3332, 3808, 4704, 4998, 5712, 6664, 9996, 11424, 13328, 19992, 26656, 39984

Step-4: Factors of 79972

List of positive integer factors of 79972 that divides 79968 without a remainder.

1, 2, 4, 19993, 39986

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79968 and 79972. The biggest common factor number is the GCF number.
So the greatest common factor 79968 and 79972 is 4.

Also check out the Least Common Multiple of 79968 and 79972